Supersymmetric Higgs Marcela Carena - Theoretical Physics Department, Fermilab Enrico Fermi Institute, University of Chicago
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Supersymmetric Higgs
Marcela Carena
Theoretical Physics Department, Fermilab
Enrico Fermi Institute, University of Chicago
Outline
The SM-like Higgs Boson
-- Basics
-- Tevatron projections
-- LHC expectations
• The MSSM Higgs Bosons
-- Basics,
-- The impact of radiative corrections on masses & couplings
-- Collider searches
-- Indirect constraints from B observables (and Direct DM searches)
• A few comments on the Higgs sector in models beyond the MSSM
The Standard Model Higgs Mechanism
A self interacting complex scalar doublet with no trivial quantum numbers under SU(2)L x U(1)Y
The Higgs field acquires non-zero value
to minimize its energy
" + 2
V (!) = µ 2 ! + ! +
2
( ! !) µ2 < 0
Higgs vacuum condensate v
• Spontaneous breaking of the electroweak symmetry: W and Z mass generation
• Higgs neutral under strong and electromagnetic interactions
exact symmetry SU(3)C x SU(2)Lx U(1)Y ==> SU(3)C x U(1)em m! = 0 mg = 0
• Masses of fermions and gauge bosons proportional to their couplings to the Higgs
M V2 = g!VV v 2 m f = hf v
• One physical state -- the Higgs Boson -- left in the spectrum mH2 SM = 2 ! v2
The Higgs plays an essential role in the SM
(Dubbed as the God particle
was recently featured in a Hollywood movie)
Its discovery will prove our simplest explanation
for the origin of mass to be correct.
• First evidence of EWSB ==> masses of gauge bosons
Measuring the WWH and ZZH couplings is essential
to identify the Higgs as the agent of EWSB:
without a v.e.v, no such trilinear coupling at tree level
==> we need to detect the Higgs in association with gauge bosons
• The other particle whose mass is related to the source of EWSB is the top quark
==> if the theory remains perturbative, the top mass will mainly come from a
Higgs with SM-like couplings to W and Z
The search for the SM Higgs: state of the art
+ ! Z*
e e ""# H SM Z
with H SM ! bb, " +" #
and Z ! qq,l + l " , ##
Gluon-gluon fusion with H ! WW
2 isolated leptons + missing Energy
! !
mH Constraints on m H from
precision tests of the SM
All electroweak parameters have at most logarithmic dependence on mH
However, preferred value of m H can be determined
To avoid a light Higgs Boson, expect new phenomena around the TeV scale
SM Higgs production processes at hadron colliders
Much progress recently in computing
NLO and NNLO QCD and EW corrections
http://maltoni.home.cern.ch/maltoni/TeV4LHC/SM.html
Recently: Anastasiou, Boughezal, Petriello; De Florian, Grazzini
SM Higgs production processes at hadron colliders
Crucial to compute production cross sections with high
accuracy to obtain information from data about ratio of
decay widths and eventually couplings and total width
Much progress recently in computing
NLO and NNLO QCD corrections
http://maltoni.home.cern.ch/maltoni/TeV4LHC/SM.html
The Tevatron Projections
- based on improvements already achieved for some analysis, extending them to the rest-
Low mass regime High mass regime
http://www-cdf.fnal.gov/physics/new/hdg/results/combcdf_mar09/#Projections
Cuenca Almenar ; Takahashi P1.N
Search Channels for the SM Higgs at the LHC
Nikitenko
5 sigma at 10 fb-1
With K factors
mH[GeV]
• Low mass range mH < 200 GeV
Production Inclusive VBF WH/ZH ttH
DECAY • Intermediate mass range
YES YES YES YES
200 GeV < mH< 700 GeV
H γγ
Inclusive H ZZ 4l
H bb YES YES
H ττ YES • Large mass range: mH> 700 GeV
H WW* YES YES YES VBF with H WW lv jj
H ZZ*, Z YES ZZ ll vv
The LHC potential cont’d
Tevatron excl.
LEP excl. !
L
E
P
With 10 fb-1, discovery for mh [~120,~500] GeV range;
With 1-2 fb-1, some reach in the H to WW channel
!!
Higgs mass resolution: 0.1 to 1%, for 300 fb-1/both
exp., using H to ZZ to 4l or H to
Total Width resolution: 5-8 % for mH > 300 GeV, ATLAS 300 fb-1, H-->ZZ--> 4l
Couplings Measurement: 5 -20 % accuracy, max. luminosity, both experiments
Bernius; Fanti;Puljak;Schott: P1.O; Marinelli: Murray: P1.PSupersymmetric Higgs ?
The Higgs Sector in the Minimal Supersymmetric SM
2 Higgs SU(2) doublets !1 and ! 2: after Higgs Mechanism
2 CP-even h, H with mixing angle ! tan ! = v 2 v1
±
1 CP-odd A and a charged pair H ! v 2 = v12 + v 22 = 246 GeV
At tree level,
one Higgs doublet couples only to down quarks, the other couples only to up quarks
ˆ
i
L (
ij + j ˆ ij +
)
!L = " hd #1dR + hu # 2 uRj + h.c.
Since the up and down sectors are diagonalized independently,
the Higgs interactions remain flavor diagonal at tree level.
Couplings to
gauge bosons & fermions
(SM normalized)
Decoupling limit m A >> m Z
Lightest (SM-like) Higgs m h ! m Z, others heavy and roughly degenerateRadiative Corrections to Higgs Boson Masses
Important quantum corrections due to incomplete cancellation of particles
and superparticles in the loops
Main effects: stops;
and sbottoms at large tan beta
4
• mt enhancement
• log sensitivity to stop masses M S
• depend. on stop mass mixing X t
2 -loop corrections: m h ! 135GeV
• If 3rd gen. scalar masses > tens of TeV
need to resum large logs for reliable mh calc.
Morrissey, P1.Q; Wagner’s talkRadiative Corrections to the Higgs Couplings
1) Important effects through radiative corrections to the CP-even mass matrix !M ij ,
2
which defines the mixing angle !
sin ! cos ! = 2
M 12 / (Tr M )
2 2
" 4 det M 2
M.C. Mrenna, Wagner
The off diagonal elements are prop. to Kim: P1.Q
m t4 µX t % X t2 (
2
M 12 !"( mA2 + m Z2 ) cos # sin # + ' 2 " 6*
16 $ v M S & M S
2 2 2
)
Important effects of rad. correc. on sin ! or cos ! depending on the sign of µX t
and the magnitude of X t / M S and µ / M S
===> govern couplings of Higgs to fermions and vector bosons
When off-diagonal elements vanish, either sin ! or cos ! vanish
===> strong suppression of the SM-like Higgs boson coupling to b-quarks and taus
Enhancement of BR (h/H --> WW/ !! ) for mh/H < 135 GeV2) Important Vertex corrections to Higgs-fermion couplings from SUSY loops
- relevant for sizeable tan ! -
Can induce Flavor changing neutral and charged current effects
[* *
( )]
!Leff . = dR0 hˆ d "10 + " 20 #ˆ0 + #ˆY hˆ u+ hˆ u dLo + " 20 uR0 hˆ u uL0 + h.c.
! loop factors intimately
connected to the structure of
hd hu+ the squark mass matrices.
hu hd Masiero’s talk
• In terms of the quark mass eigenstates
eff v2 (
!L = 1 tan " #10* ! # 0*
2 )
dR M d $%VCKM
+
R -1VCKM &' d L + h.c. + ... Dedes, Pilaftsis
and R = 1 + !0 tan " + !Y tan " h u
2
R diagonal
2# µM * * µ* At*
Dependence !Y "
!0i " s
[ ]
g˜
on SUSY param. d d [
3$ max m 2˜ i ,m 2˜ i , M g2˜
1 2
] 16# 2 max mt˜2 ,mt˜2 , µ 2
1 2
Higgs Physics strongly connected to flavor physics and to the SUSY mechanismLooking at VCKM ! I " Flavor Conserving Higgs-fermion couplings
$ * *' 1 *
!Leff = 1 & tan " #10 ! # 02 ) bR M b 33 b L + 1 # 02 bR M d b L + h.c.
v2 % ( R v2
R 33 = 1+ (!03 + !Y ht2 ) tan " # 1+ $ b
In terms of h,H and A: !10 = "sin # h + cos# H + i sin$ A
! 20 = cos# h + sin# H - i cos$ A
Hence:
"mb sin #
g hbb ! (1 " $ b / tan # tan % )
(1+ $ b ) v cos% destroy basic relation
g h,H,Abb g h, H ,A !! " mb m!
mb cos "
g Hbb ! (1 % # b tan " / tan $ )
(1 + # b) v cos$
m b tan " At large tan ! " g Hbb # g Abb
g Abb !
(1 + # b ) v M.C. Mrenna, Wagner; Haber,Herrero, Logan, Penaranda, Rigolin, Temes
Strong suppression of h(H) -bottom coupling
tan ! ! " b / tan # $ ghbb ! 0; g h%% ! " b m% / v (Similar for H)
Radiative corrections main decay modes of the
SM-like MSSM Higgs into b- and tau-pairs can be drastically changedWhat can the Tevatron say
about an SM-like MSSM Higgs?
Different SUSY benchmark scenarios will yield very different results
M.C.,Heinemeyer, Wagner,Weiglein
• The mhmax scenario: [Maximizes mh]
M S = 1 TeV ; X t = 2.4 M S ; mg˜ = 0.8 M S ; M 2 = !µ = 200GeV; A t = Ab
g hbb, g h!! enhanced due to sin ! eff , / cos " factor for low mA and intermediate
to large tan beta (analogous for H if small mA)
hence, strong suppression of BR( h ! "" ) and BR(h WW) with respect to SM
• The small sin ! eff . scenario:
M S = 800 GeV ; X t = - 1.2 TeV ; µ = 2.5 M s ; mg˜ = M 2 = 500GeV; A t = Ab
g hbb, g h!! importantly suppressed for large tan beta and small mA,
and in different ways due to ! b corrections
hence, BR( h ! "" ) and BR(h WW) enhanced with respect to SMTevatron reach for the MSSM SM-like Higgs
The mhmax scenario: mh ~ 125 GeV
All channels included in CDF/DO combination.
95% C.L. Exclusion- 10 fb-1. LHC projected reach
for the same benchmark point
Allowed
•First, full simulation analysis of qqH, H->ττ-->l+jet
qqH, H->ττ
• Optimized NN with kinematics &γ &γ isolation
Nikitenko
1.5 x effc. (90% C.L.)
tan !
L
E
1.5 x effc.
L P
E
P
MA [GeV]
1.25 x effc.
No reach at present
BUT with the expected improvement factor
of 1.5 assumed good coverage
Draper, Liu, WagnerAn interesting case: The small sin ! eff .scenario
CDF/DO combination: 95% C.L. Exclusion- 10 fb-1.
H/h bb final channel only H/h bb + WW channels
1.5 x effc. 1.5 x effc.
(90% C.L.) (90% C.L.)
tan !
L 1.5 x effc. L 1.5 x effc.
E E
1.25 x effc. P 1.25 x effc.
P
MA [GeV] MA [GeV]
Red not excluded Draper, Liu, Wagner
• Useful h WW Tevatron search for a low mass MSSM SM-like Higgs
• Full coverage of the MSSM plane once the tan beta enhanced channels
!! inclusive, b!! , and bbb, at present reach, includedProspects for SM–like Higgs searches at LHC, cont’d
• The small sin ! eff . scenario:
g hbb, g h!! importantly suppressed (for large tan beta and small mA)
hence, h ! "" channel enhanced with respect to SM
M.C., Mrenna, Wagner
LEP excluded LEP excluded
-- Complementarity in coverage
-- One may see a SM-like Higgs in the !! channel and not in the ! +! "channelNon-Standard Higgs Production at the Tevatron and LHC
• Enhanced couplings to b quarks and tau-leptons
• Considering value of running bottom mass and 3 quark colors
9 (1+ % b )
2
BR(A ! bb ) " + #
BR(A ! " " ) $
9 + (1+ # b )
2
9 + (1+ % b )
2
tan % 2 Strong dependence on the
! (bb A) " BR( A # bb ) $ ! (bb A) SM
9
" " SUSY parameters
(1+ & b ) (1+ & b ) + 9
2 2
in the bb channel.
tan & 2
! (bb ,gg " A) # BR( A " $$ ) % ! (bb ,gg " A) SM # Robust predictions
(1+ ' b ) + 9
2
in the tau-tau channel
Excellent coverage at both colliders in the di-tau inclusive channelMSSM Higgs at the Tevatron
.
L Mhmax. Scenario
E 1.0 x effc.
P
1.5 x effc.
e (90 % C.L.)
x
c 1.5 x effc.
l
Small sin ! eff . scenario
MA [GeV]
L
E
P 1.0 x effc.
tan !
e
All channels combined x 1.5 x effc.
c
both exp. and for 10 fb-1 1.25 x effc.
l
MA [GeV]Indirect searches for MSSM Higgs bosons
in B meson observables
Important interplay between B physics observables and
SUSY Higgs searches at the Tevatron and the LHC
Loop-induced A/H mediated FCNC’s:
ht2 #Y tan $ 2
!LFCNC = bR (X ) s " + h. c.
S bs with (X )H/A bs
!"
mb
Vtb*
V ts
RL L S RL
( )
v 1+# 03 tan $ (1 + % b )
CKM CKM
32 23*
32
tan !
32 32 2 2
tan $ 2 µ At tan " 6
(!M )
SUSY X RL X LR 32
X RL
BS " # BR(BS ! µ +µ" ) SUSY # !
mA4
mA2 mA4
Negative sign with respect to SM A/H at collider reach:
SUSY
!M B S m 2 strong constraints on !M S
MFV: correlation between $ A DP
+ #
SUSY contributions BR(BS " µ µ ) tan % 2 good agreement with data Charged Higgs mediated flavor changing effects:
Similar to neutral Higgs case: tanb enhanced charged Higgs - squark loop corrections
• Charged Higgs and chargino-stop contributions to BR(B ! X S " )
µ
tR tL
32
PRL 33
PLR h˜ 2+ h˜1+
2# S * ! ~t
sL H+ bR ! ht " ht µ M g! sL
__
~
3$ t
R At L bR
(ht " # ht tan $ ) mb µ At tan # mb 2
AH + ! g[mt , mH + ] Vts A! + " h f [m , m , µ ] Vts
(1 + % b ) (1 + $ b ) t t!1 t!2
• Bu ! "# transition MSSM charged Higgs & SM contributions interfere destructively
2
BR(Bu ! "# ) MSSM - % m2 ( tan + 2 0
(H ± ) RBu !"# = = /1 $ ' 2 *
B
2
BR(Bu ! "# )SM /. & mH ± ) (1 + , 0 tan + ) 21
3
In vast regions of SUSY space, indirect searches in B observables
may be more powerful than direct Higgs searchesFCNC and the scale of SUSY Breaking
• FCNC’s induced by Higgs-squark loops depend on the flavor structure of the
squark soft SUSY breaking parameters
• If SUSY is transmitted to the observable sector at high energies M~MGUT
even starting with universal masses (MFV) in the supersymmetric theory:
Ellis, Heinemeyer, Olive, Weiglein
Due to RG effects: M.C, Menon, Wagner
1) The effective FC strange-bottom-neutral Higgs is modified: Bs ! µ µ
+ "
m b ( # 03 " # 1,2
0 + ht # Y ) tan $
2 2
(X )
H/A bs
!" Vtb*
V ts ! 03 " ! 1,2
0 > 0 and proportional to µ M g!
RL
v ( )
1+# 03 tan $ (1 + % b )
CKM CKM
If µ At < 0 and µM g! > 0
possible cancellation of effects
2) Flavor violation in the gluino sector induces relevant contributions to b ! s"
Ag! ! " S (m02 # mQ2 3 )M g! µ tan $ F(m0 , mR , mb!i , md!i , M g! ) Borzumati, Bertolini,
Masiero,Ridolfi
• If SUSY is transmitted at low energies: M~ MSUSY,
Squark mass matrices approx. block diag, only FC effects in the chargino-stop& H+ loopsB physics constraints on the Xt ! µ plane
Departures from MFV - the Scale of SUSY breaking
Allowed in low M A = 200 GeV tan! =55
energy SUSY:
M = MSUSY Allowed in high
energy SUSY:
M = MGUT
CDMS excluded
M.C., Menon, Wagner
Independent of the scale at which SUSY breaking is transmitted
M ! M SUSY or M ! M SUSY
Large stop mixing is disfavored ==> light Higgs mass below/about 120 GeV
Can be excluded by Tevatron; LHC discovery in di-tau and di-photon channelsIndirect searches for MSSM Higgs bosons
in direct Dark Matter experiments
Direct DM experiments:
WIMPs elastically scatter off nuclei in target,
producing nuclear recoils
Sensitive mainly to spin-independent elastic scattering cross section ! SI " 10#8 pb
==> dominated by virtual exchange of H and h,
coupling to strange quarks and to gluons
via bottom loops
tan ! enhanced couplings for H
Indirect Higgs probes also in dark matter explanations of leptonic
cosmic ray signals .
Bai; Kumar P6.JNon-SM-like Higgs and B-meson Constraints
The effect of the SUSY breaking scenario in MFV
Xt = !400 GeV µ =800 GeV M SUSY = 1.5TeV M g! =800 GeV µ At < 0 and µM g! > 0
CDMS: excluded
left of the red line GREEN (hatched) region:
Allowed in low energy
SUSY: M = MSUSY
pp ! H / A ! " +" #
excluded : 1.8 fb -1
YELLOW region:
Allowed in high energy
LHC - 30 fb-1 SUSY: M = MGUT
Tevatron - 4fb-1
For M~MGUT, parameter space less constrained for large tanb:
The chargino contribution cancels both, the gluino and charged Higgs ones to b ! s"
Also, cancellation of BS ! µ µ due to mass splitting effect
+ "
For M~Msusy, parameter space more constrained for large tanb:
The chargino contribution cancels charged Higgs ones to b ! s" but BS ! µ + µ " very
contrained due to non-vanishing AtNon-SM-like Higgs and B-meson Constraints
The effect of the SUSY breaking scenario in MFV: case 2
Xt = 0 µ =1000 GeV M SUSY = 1.5TeV M g! =800 GeV
CDMS: excluded
GREEN (hatched) region:
left of the red line
Allowed in low energy
SUSY: M = MSUSY
pp ! H / A ! " +" #
excluded : 1.8 fb -1 YELLOW region:
Allowed in high energy
LHC - 30 fb-1 SUSY: M = MGUT
Tevatron - 4fb-1
M.C., Menon, Wagner
Menon, P1.D
For M~MGUT, parameter space STRONGLY constrained for large tanb:
The chargino and the charged Higgs contributions cancel individually, some contribution from
the gluino to b ! s" . Strong constrain from gluinos (no cancellation for At=0) to BS ! µ µ
+ "
For M~Msusy, parameter space less constrained for large tanb:
The chargino and charged Higgs contributions to b ! s" tend to cancel individually and no
constraint for At=0 to BS ! µ µ
+ "Extensions of the MSSM Higgs Sector
• MSSM with Explicit CP violation Talks by Pilaftsis and Wagner
• Additional SM singlets (including additional gauged U(1)’s)
Talk by Langacker
Talk by Ellwanger [BSM-LHC]
• Models with enhanced weak gauge symmetries Medina, P1.Q
• Broader extensions via effective field theory with higher dimensional
operators Ponton, P7.BComparison of Different extra Singlet Extensions
Quite generally, the tree-level potential of all extensions have the form:
The parameters should be chosen in the following form
They also differ in their basic symmetries and superpotential form
Barger, Langacker, Lee, ShaughnessyUpper bounds on the lightest CP-even Higgs Boson Mass
The upper bound on the lightest CP-even Higgs mass depends on the model
The tree-level masses may be much
larger than in the MSSM, particularly
at low values of
In the UMSSM, the tree-level mass
may be pushed to larger values
even for large values ofChallenging New Higgs search modes in MSSM models
with one extra singlet or explicit CP violation
Exotic Higgs Decays into two lighter scalars
SM-like Higgs h
Non-SM-like Higgs h
both singlet and
Non-Singlet A.
non-singlet A
LEP searches has been performed H 2 ! H 1 H 1 ! 4b ' s; 2" ' s + 2b ' s; 4" 's
Mh~100 GeV and
BR(H2 H1H1) ~90%
with H1 to tau-pairs
Dermisek, Gunion sol.
To little hierarchy
problemAt the Tevatron and LHC some studies have been performed
Gluon fusion with H 2 ! H 1 H 1 ! 4" 's Graham, Pierce, Wacker
Forshaw et al:
Diffractive and VBF production at LHC, with H 2 ! H 1 H 1 ! 4" 's Belyaev et al.
M.C., Han, Huang, Wagner
If m H1 ! 10 GeV, decays "(nS) # H 1 + $ are possible
H1 decays into 2µ's or 2! 's
Searches at CLEO and Babar
Kolomensky, P1.N
Also via gluon fusion at D0 Buescher’s talk
Strong bounds on availlable param. space
LHC simulations: Lisanti, P1.P
* Invisible Higgs decays
Decay into LSP pairs kinematically allowed, becomes dominat
naturally in the nMSSM with LSP ~ 35 GeV for DM/baryogenesis (VBF at LHC?)More general MSSM Higgs extensions: EFT approach
Low energy superpotential: Dine, Seiberg, Thomas
Batra, Ponton
• can include SUSY breaking via a spurion X
• O(1/M2) yield several new operators in the Kahler potential (not in the superpotential)
and the corresponding associated SUSY breaking operators
Quartic interactions of 2HDM can be written as M.C., Kong, Ponton, Zurita
At O(1/M), only modified At O(1/M2) all !i ' s receive contributionsHiggs Spectra in EFT extensions of the MSSM The lightest tree level Higgs mass is well above MZ. Expansion parameters: µ M and m S M (mS is the spurion F term) Second order terms can have a relevant impact. Large deviations from the MSSM mass values, specially for low tanb
Higgs Spectra in EFT extensions of the MSSM
The lightest tree level Higgs mass is well above MZ.
Expansion parameters: µ M and m S M
Second order terms can have
a relevant impact.
Large deviations from the MSSM
mass values, specially for low tanb
Scanning over model parameters
M.C., Kong, Ponton, ZuritaHeavy CP-even Higgs Mass
Follows MSSM trend but with large
spreading at small mA (heavier H)
Similar for Charged Higgs
Important corrections to Higgs couplings:
Possible large variations from Standard
MSSM phenomenology
• Factor 2 enhancement in gluon fusion production
• SM-like Higgs with mass below 120 GeV and no relevant decay to b’s
- enhanced WW/ZZ and di-photon decays -
• Two CP-even Higgs bosons of about 200-250 GeV mass,
SM decays to gauge bosons, and one fermiophobic
• New open channels (some dominant): H+ AW+ decay (with mH+ < mtop)
H AA/AZOutlook
Some type of SM-like Higgs is probably around the corner
The Higgs sector can shed light to many SM puzzles
the origin of mass, flavor, dark matter …
Many types of experiments are exploring the Higgs sector
-impressive results from the Tevatron-
The SM and many new physics models,
in particular SUSY M0dels, are being constrained
Let’s make a wish
for A Higgs discovery soon.EXTRAS
Present Status of MSSM Higgs searches
95%C.L. limits
e +e! ""
*
Z
# hZ,HZ, Ah, AH main decay mode h ! bb
MSSM Higgs mh > 91.0GeV;mA > 91.9GeV
Charged Higgs m H ± > 78.6GeV SM-like Higgs mh > 114.6GeVMeasuring Higgs Couplings at LHC
LHC rates for partonic processes are given by
! SM $p $Y !p is the Higgs partial with involving the production
! (pp " HSM ) # BR(HSM " YY) = SM !Y (H SM " YY)
$p $ couplings and BR (H SM " YY) =
!
•From precision on ! " BR ==> determine ratios ==> with some mild theoretical
of decay widths assumptions
ratios of couplings
Duehrssen, Heinemeyer, Logan
Rainwater, Weiglein, Zeppenfeld
Precision of 10-40% for !Y
==> 5-20% in the couplings
• Measuring HWW and HZZ couplings of order one (SM-like) will be evidence
of a Higgs responsible for the EWSB
==> WW fusion most relevant channelMass and Width Resolution MSSM Higgs Δm/m (%) 300 fb-1 h, A, H → γγ 0.1−0.4 H→4 0.1−0.4 H/A → µµ 0.1-1.5 Analysis of indirect widths for h → bb 1−2 Η → hh → bb γγ 1-2 mass range below 200 GeV: Α → Zh → bb 1−2 10-20% precision H/A → ττ 1-10
Searches forH/A Higgs searches
Non-Standard at thebosons
Neutral Higgs LHC at the LHC
pp ! A / H X, A / H ! " +" # , rescaling CMS prospects for 30 fb-1 (similar for ATLAS)
M.C, Heinemeyer, Wagner, Weiglein • Enhancement of Hbb and Abb couplings
by factor tan ! compared with SM Higgs.
==> large production cross section
+ #
==> decay dominated by A / H ! " "
(with different decay modes of tau leptons)
Kinnunen et al .
Cancellation of ! b effects ==> projections stable
under variations of SUSY space ==> ! tan " # 8
main variation ==> A / H ! "˜ i0 "˜ 0j , "˜ k± "˜ l!
Robustness of results under variations of SUSY space ==>handle on tan betaCharged Higgs searches at the LHC
• Similarly to the neutral Higgs case, there are tan beta enhanced loop
corrections which depend on SUSY parameters
For m > m t + m b expect H ± ! tb decay, however
H±
± ± tan ' 2 (1 + ( b ) 2
! (gb " H t) # BR(H " $% ) &
(
(1 + ( b ) 2 (1 + ( ) 2 + 9 1) m 2 / m 2
)
2
b t ±
H
Much more robust under radiative corrections
! tan " # 10
Including variation due to charged Higgs
decay into SUSY particles for small mu
M.C., Heinemeyer, Wagner, WeigleinB and Higgs Physics at the Tevatron and the LHC
explore complementary regions of SUSY parameter space
Important Flavor Changing effects: 1) tree level ==> charged Higgs induced via
2) tan beta enhanced loop corrections both in the neutral and charged Higgs sectors
==> model dependent ==> assume Minimal Flavor Violation
"1
± 0.07 ps"1 and SM CKM fit ! "14.1 < #M B s [ ps ] < 2.4
NP
+0.42
A) Bs mixing: !MSCDF. = 17.33"0.21
+ "
Due to correlation between Bs mixing and BR(BS ! µ µ )==> if A/H at the reach of LHC
then largest contribution to !m S due to new physics at most a few ps-1
B) BR(BS ! µ +µ" ): ==> SM rate of order 10-9 at the reach of LHC with about 10fb-1,
but important SUSY corrections can enhanced it by 2 orders of magnitude
BR(B S ! µ + µ " ) SUSY # µA t tan $ 2 m A4
2
C) BR(Bu ! "# ) : important constraint from recent measurement at Belle
- 0
BR(Bu ! "# ) SUSY / %' mB2 (* tan + 2 2 BR(Bu " #$ ) exp
BR(Bu ! "# )
= 1$ ' 2 * ! +0.30
= 0.67%0.27
/. & m H ± ) (1+ , b ) 21 BR(Bu " #$ )
SM SM
$4
D) B ! X S " : good agreement with SM ==> | BR(B ! X S " ) - BR(B ! X S " ) |< 1.3 # 10
exp SM
SUSY contributions from chargino-stop and charged Higgs-top loops need to partially cancel• What can we learn from Bs-mixing?
+
How strong is the bound on BR(Bs ! µ µ") ?
+5.9(+9.7)
Upper bound on NP from CDF ==> !M = 17.33
. +0.42
± 0.07 ps
"1 !M SCKM = 21.7"4.2("6.8) ps"1
S "0.21
"1
M. C. et al. hep-ph/0603106 !M UT
S = 21.5 ± 2.6 ps
Using CKM fitter
Using UT fit
A/H at the reach of the
Tevatron or the LHC
strong constraints on
SUSY
!M S DP
BR CDF (Bs ! µ +µ _ ) < 1. 10"7
large ! factors implies heavy squark mass and trilinear terms
• For natural values of mA< 1000 GeV ==> largest contributions at most a few ps-1
SUSY
!M BS " 3ps#1 $ improve the agreement with experiment
DP
$ imply that BR(BS % µ +µ# ) should be at the Tevatron reachYou can also read
